This communique presents the Q-S synchronization of two nonidentical complex nonlinear hyperchaotic systems with unknown parameters. An adaptive controller based on adaptive integral sliding mode control and parameter update laws are designed to realize the synchronization and parameter identification to a given map vector. The aforementioned strategy’s employment demands the transformation of a system into a specific structure containing a nominal part and some unknown terms (later on, these unknown terms will be computed adaptively). An integral sliding mode controller is used to stabilize the error system by designing nominal control accompanied by compensator control. For chattering suppression, a continuous compensator of smooth nature is used instead of conventional control. The stability of the proposed algorithm is established in an impressive way, using Lyapunov criteria. A numerical simulation is performed to illustrate the validity of the proposed synchronization scheme.

中文翻译：

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基于自适应积分的鲁棒QS同步和非线性超混沌复杂系统的参数辨识

该公报介绍了参数未知的两个不同的复杂非线性超混沌系统的QS同步。设计了一种基于自适应积分滑模控制和参数更新律的自适应控制器，以实现给定地图矢量的同步和参数辨识。前述策略的使用要求将系统转换为包含名义部分和一些未知项的特定结构（以后，这些未知项将自适应地计算）。集成滑模控制器用于通过设计标称控制和补偿器控制来稳定误差系统。为了抑制颤动，使用了平滑特性的连续补偿器来代替常规控制。使用Lyapunov准则以令人印象深刻的方式确定了所提出算法的稳定性。进行了数值模拟，以说明所提出的同步方案的有效性。